Just before Jobs takes over the Macintosh project in the early 1980s, a second-generation Chevy Cavalier sedan with heavily oxidized, peeling, and faded blue paint drives past in the parking lot. The second generation entered production in 1988, and it would presumably take somewhere around 24 years (when the film was made) for the paint to become that deteriorated.
When Jobs returns to Apple in 1996, a silver second-generation Mercedes-Benz Sprinter passenger van is seen outside the headquarters. The second generation entered production in 2006, and the vans did not begin to be seen around Infinite Loop and Cupertino until at least 2010.
When Jobs and Wozniak are talking one night in the 1980s office conference room, some of the U-Matic video tape cases behind Jobs have label designs that would date them well after the events of the movie.
Steve Jobs and Steve Wozniak meet in the conference room the night before the IPO. When Wozniak gets up to leave the room, the notepad is on the table to Wozniak's right, with another piece of paper next to it. In the next shot, only the notepad is there.
When Jobs introduces Apple's new music player he calls it "the iPod". Jobs avoided preceding Apple devices with "the", rationalizing that doing so positioned a product as a representation of a user rather than as an inanimate object. In video of the event Jobs refers to the device as simply "iPod" without any definite or indefinite articles.
(at around 14 mins) When Woz is soldering a circuit board, he's soldering the wrong side of the board. He's also made a mess of the IC chip leads, which is precisely why all soldering is done where the contact pads are: underneath the board.
Every time Steve Wozniak solders in the move, the solder sizzles. Solder never sizzles or makes any other sound. The only time you would hear a noise is when periodically cleaning the tip of the iron on a wet sponge.